http://arxiv.org/abs/1410.1259 Using two innovations, smooth, but distinctly different, scaling laws for the numerical reconnection of pairs of initially orthogonal and anti-parallel quantum vortices are obtained using the three-dimensional Gross-Pitaevskii equations, the simplest mean-field non-linear Schrödinger equation for a quantum fluid. The first innovation suppresses temporal fluctuatio...

This doctoral thesis consists of experimental studies on rotating superfluid helium-3 at millikelvin temperatures. Superfluid He provides an example of ordered systems where quantum phenomena are visible on a macroscopic scale. The order parameter is described by a 3×3 complex matrix leading to different superfluid phases with different properties. The A and B phases support topologically diffe...

In this Letter we discuss the classical three-dimensional XY model whose nearest-neighbor interaction is a mixture of $cos({\ensuremath{\theta}}_{i}\ensuremath{-}{\ensuremath{\theta}}_{j})$ (ferromagnetic) and $cos2({\ensuremath{\theta}}_{i}\ensuremath{-}{\ensuremath{\theta}}_{j})$ (nematic). This dual to theory with integer half-integer vortices. While both types vortices interact noncompact $...

We predict that an incompressible fractional quantum Hall state is likely to form at ν = 3/8 as a result of a chiral p-wave pairing of fully spin polarized composite fermions carrying four quantized vortices, and that the pairing is of the anti-Pfaffian kind. Experimental ramifications include quasiparticles with non-Abelian braid statistics and upstream neutral edge modes.

Generic scaling laws, such as the Kolmogorov's 5/3-law, are milestone achievements of turbulence research in classical fluids. For quantum fluids atomic Bose-Einstein condensates, superfluid helium, and neutron stars, can also exist presence a chaotic tangle evolving quantized vortex lines. However, due to lack suitable experimental tools directly probe vortex-tangle motion, so far little is kn...

Quantum Hall-superconductor heterostructures provide possible platforms for intrinsically fault-tolerant quantum computing. Motivated by several recent experiments that successfully integrated these phases, we investigate transport through a proximitized integer Hall edge--paying particular attention to the impact of vortices in superconductor. By examining downstream conductance, identify regi...

Since the idea of quantum turbulence was first proposed by Feynman and later realized in experiments superfluid helium Bose-Einstein condensates, much emphasis has been put on finding signatures that distinguish from its classical counterpart. Here we show rotating condensates is fundamentally different case. While develops a negative temperature state with self-organization kinetic energy quan...

The paper explores the two scale approach to the incompressible dynamics of superfluid 4He. The fluid is described by a system of equations: Navier–Stokes and Euler equations for the macroscopic normal and superfluid velocity fields respectively. The two equations couple via a mutual friction force exerted on superfluid (quantum) vortices by the normal component. The magnitude of this force, ca...